TWISTED CONJUGACY CLASSES IN LATTICES IN SEMISIMPLE LIE GROUPS

被引：15

作者：

Mubeena, T. ^{[1
]}

Sankaran, P. ^{[1
]}

机构：

[1] Inst Math Sci, Madras 600113, Tamil Nadu, India

来源：

TRANSFORMATION GROUPS | 2014年 / 19卷 / 01期

关键词：

twisted conjugacy classes; lattices in semisimple Lie groups; S-arithmetic lattices; groups with R-infinity property; NILPOTENT GROUPS; AUTOMORPHISM;

D O I：

10.1007/s00031-014-9249-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a group automorphism I center dot: I" -> aEuro parts per thousand I", one has an action of I" on itself by I center dot-twisted conjugacy, namely, g.x = gxI center dot(g (-1)). The orbits of this action are called I center dot-conjugacy classes. One says that I" has the Ra-property if there are infinitely many I center dot-conjugacy classes for every automorphism I center dot of I". In this paper we show that any irreducible lattice in a connected semisimple Lie group having finite centre and rank at least 2 has the Ra-property.

引用

页码：159 / 169

页数：11

共 29 条

[1]

[Anonymous], 2001, DIFFERENTIAL GEOMETR

[2] TWISTED CONJUGACY CLASSES IN R. THOMPSON'S GROUP F [J].